The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions

Mamyrbek A. Beisenbi, Ainur K. Satpayeva, Vladimir V. Nikulin, Valery I. Goncharov, Shugla S.Mussabayeva Va, Zhanetta M. Zhalmuhamedova

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The article suggests a method for researching the deterministic chaotic mode of an electrotechnical system with generating sources by velocity gradient method of vector Lyapunov functions. Unregulated electrotechnical system is considered. The condition of robust stability of the existing stationary state is obtained in the form of a system of inequalities for the uncertain parameters of the electrotechnical system with generating sources (ETS GS). It is seen on the simulation system of ETS GS, that a deterministic chaos mode with the formation of a 'strange attractor' generated in the system when uncertain parameters locate beyond the limits of robust stability.

Original languageEnglish
Title of host publication2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781538651414
DOIs
Publication statusPublished - 1 Apr 2019
Event2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Tomsk, Russian Federation
Duration: 18 Apr 201920 Apr 2019

Publication series

Name2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings

Conference

Conference2019 International Siberian Conference on Control and Communications, SIBCON 2019
CountryRussian Federation
CityTomsk
Period18.4.1920.4.19

Keywords

  • Control systems
  • Electrotechnical systems
  • Lyapunov direct method
  • Modelling
  • Robust stability
  • Stability
  • Vector Lyapunov function

ASJC Scopus subject areas

  • Control and Optimization
  • Computer Networks and Communications
  • Signal Processing

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  • Cite this

    Beisenbi, M. A., Satpayeva, A. K., Nikulin, V. V., Goncharov, V. I., Va, S. S. M., & Zhalmuhamedova, Z. M. (2019). The research of the determined chaotic mode of electrotechnical systems with the generating sources by velocity gradient method of vector lyapunov functions. In 2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings [8729603] (2019 International Siberian Conference on Control and Communications, SIBCON 2019 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SIBCON.2019.8729603